Enhancing chaos in chaotic maps and flows

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 54, Issue 5, 1996, Pages 4580-4585

  Gupte, Neelima ^a   Amritkar, R E ^a  

^a UNIVERSITY OF PUNE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4243593807     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.54.4580     Document Type: Article

References (20)

1. E. Ott, C. Grebogi and J A. Yorke, Phys. Rev. Lett.64, 1196 (1990).
2. L M. Pecora and T L. Caroll, Phys. Rev. Lett.64, 821 (1990);
3. L M. Pecora and T L. Caroll, Phys. Rev. A44, 2374 (1990).
4. J M. Ottino, The Kinematics of Mixing, Stretching, Chaos and Transport (Cambridge University Press, Cambridge, 1989).
5. Y. Wang, J. Singer and H H. Bau, J. Fluid Mechanics237, 479 (1992).
6. J M. Ottino, Sci. Am.260, (1), 40 (1989);
7. J M. Ottino, F J. Muzzio, M. Tjahjadi, J G. Franjione, S C. Jana and H A. Kusch, Science253, 755 (1995);
8. J M. Ottino, G. Metcalfe, and S C. Jana, in Proceedings of the Second Experimental Chaos Conference (World Scientific, Singapore, 1995), pp. 3–20.
9. See, e.g., E. Ott and M. Spano, Phys. Today 48 (5), 34 (1995), and references therein.
10. M A. Woo, W G. Stevenson, D K. Moser, R M. Harper and R. Trelease, Am. Heart J.123, 704 (1992);
11. A. Goldberger, Ann. Biomed. Eng.18, 195 (1990).
12. S J. Schiff, K. Jenger, D H. Duong, T. Chang, M L. Spano and W L. Ditto, Nature370, 615 (1994).
13. W. Yang, M. Ding, A. Mandell and E. Ott, Phys. Rev. E51, 102 (1995).
14. H. D. I. Abarbanel, R. Brown, J J. Sidorowich and L. Sh. Tsimring, Rev. Mod. Phys.65, 1331 (1993).
15. M. Tabor, Chaos and Integrability in Nonlinear Dynamical Systems, An Introduction (Wiley, New York, 1989).
16. E N. Lorenz, J. Atmos. Sci.20, 130 (1963).
17. For γ=0.5 it is necessary to take a much larger number of initial conditions to obtain a plot that is robust to change in initial conditions.
18. K D. Williamowski and O. E. Rössler, Z. Naturfosch. Teil A35, 317 (1980).
19. B L. Aguda and B L. Clarke, J. Chem. Phys.89, 7428 (1988).
20. M. Hénon, Commun. Math. Phys.50, 69 (1976).